Electron. J. Differential Equations,
Vol. 2017 (2017), No. 132, pp. 110.
Existence and nonexistence of solutions for sublinear
problems with prescribed number of zeros on exterior domains
Janak Joshi
Abstract:
We prove existence of radial solutions of
on the
exterior of the ball, of radius R, centered at the origin in
such that
if R>0 is sufficiently small.
We assume
is odd and there exists a
with f<0 on
,
f>0 on
with f sublinear
for large u, and
for large r with
.
We also prove nonexistence if R>0 is sufficiently large.
Submitted March 6, 2017. Published May 16, 2017.
Math Subject Classifications: 34B40, 35B05.
Key Words: Exterior domain; sublinear; radial solution.
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Janak Joshi
Department of Mathematics
University of North Texas
Denton, TX 76203, USA
email: janakrajjoshi@my.unt.edu

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